34200900864 has 576 divisors, whose sum is σ = 114134343680. Its totient is φ = 10158317568.

The previous prime is 34200900863. The next prime is 34200900931. The reversal of 34200900864 is 46800900243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34200900863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269298369 + ... + 269298495.

Almost surely, 2^34200900864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34200900864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57067171840).

34200900864 is an abundant number, since it is smaller than the sum of its proper divisors (79933442816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34200900864 is an equidigital number, since it uses as much as digits as its factorization.

34200900864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 34200900864 in words is "thirty-four billion, two hundred million, nine hundred thousand, eight hundred sixty-four".